Lie derivatives and structure Jacobi operator on real hypersurfaces in complex projective spaces
From MaRDI portal
Publication:730449
DOI10.1016/j.difgeo.2016.10.004zbMath1355.53016OpenAlexW2548590410WikidataQ115355596 ScholiaQ115355596MaRDI QIDQ730449
Publication date: 28 December 2016
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.difgeo.2016.10.004
real hypersurfacecomplex projective spaceLevi-Civita connectionstructure Jacobi operator\(k\)-th g-Tanaka-Webster connectionLie derivatives
General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25)
Related Items
Derivatives on Real Hypersurfaces of Non-flat Complex Space Forms, Unnamed Item, Lie derivatives and structure Jacobi operator on real hypersurfaces in complex projective spaces II, Derivatives of the operator \(\phi a - A\phi\) on a real hypersurface in non-flat complex space forms, Real hypersurfaces in the complex hyperbolic quadric with Reeb invariant Ricci tensor
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pseudo-Einstein CR-structures on real hypersurfaces in a complex space form
- Sectional curvatures of holomorphic planes on a real hypersurface in \(P^ n({\mathbb{C}})\)
- Real hypersurfaces in a complex projective space with constant principal curvatures
- Real hypersurfaces in a complex projective space with constant principal curvatures. II
- Pseudo-hermitian structures on a real hypersurface
- On ruled real hypersurfaces in complex space forms
- Real hypersurfaces in complex projective space whose structure Jacobi operator is Lie \(\xi\)-parallel
- On homogeneous real hypersurfaces in a complex projective space
- Real hypersurfaces in complex projective space whose structure Jacobi operator satisfies \({\mathcal L}_\xi r_\xi=\nabla_\xi r_\xi\)
- Real Hypersurfaces and Complex Submanifolds in Complex Projective Space
- Variational Problems on Contact Riemannian Manifolds
- On real hypersurfaces of a complex projective space
- Riemannian geometry of contact and symplectic manifolds
